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Finding the Fourth Proportional to 2,582.43, 3,564.32 and 1,698.32

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Solution

The fourth proportional to 2,582.43, 3,564.32 and 1,698.32 is: 2,344.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.43 : 3,564.32 = 1,698.32 : x
  2. Step 2: Convert to fraction form
    2,582.43/3,564.32 = 1,698.32/x
  3. Step 3: Cross multiply
    2,582.43x = 3,564.32 × 1,698.32
  4. Step 4: Simplify right side
    2,582.43x = 6,053,338.12
  5. Step 5: Solve for x
    x = 6,053,338.12/2,582.43
  6. Step 6: Final answer
    x = 2,344.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.